-2(2y-2)-y=-3(y-2)

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Solution for -2(2y-2)-y=-3(y-2) equation:


Simplifying
-2(2y + -2) + -1y = -3(y + -2)

Reorder the terms:
-2(-2 + 2y) + -1y = -3(y + -2)
(-2 * -2 + 2y * -2) + -1y = -3(y + -2)
(4 + -4y) + -1y = -3(y + -2)

Combine like terms: -4y + -1y = -5y
4 + -5y = -3(y + -2)

Reorder the terms:
4 + -5y = -3(-2 + y)
4 + -5y = (-2 * -3 + y * -3)
4 + -5y = (6 + -3y)

Solving
4 + -5y = 6 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
4 + -5y + 3y = 6 + -3y + 3y

Combine like terms: -5y + 3y = -2y
4 + -2y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
4 + -2y = 6 + 0
4 + -2y = 6

Add '-4' to each side of the equation.
4 + -4 + -2y = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = 6 + -4
-2y = 6 + -4

Combine like terms: 6 + -4 = 2
-2y = 2

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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